A man has to get air-mail. He starts to go to airport on his motorbike. Plane comes early and the mail is sent by a
horse-cart. The man meets the cart in the middle after half an hour. He takes the mail and returns back, by doing so,
he saves twenty minutes. How early did the plane arrive?
Answers
Given : A man has to get air-mail.
He starts to go to airport on his motorbike.
Plane comes early and the mail is sent by a horse-cart.
The man meets the cart in the middle after half an hour.
He takes the mail and returns back, by doing so, he saves twenty minutes.
To Find : How early did the plane arrive
Solution:
Let say Man started at Time 0
Man meets cart after 1/2 hr
so man will be back by 1/2 + 1/2 = 1 hr
He Saved 20 min
so original time was = 1 hr + 20 min = 80 min
Time to reach plane = 80/2 = 40 Min
Plane was supposed to reach after 40 min
Horse cart meet after 30 Min ( means 10 min more to air port)
Assuming Speed of Horse cart same as man bike
Horse cart will take 10 min to reach the point where they meet
Hence Horse cart left Airport 30 - 10 = At 20 min
Plane scheduled time = 40 min
Plane came early = 40 - 20 = 20 min
Plane arrived 20 Mins early.
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